Question

Решите системы неравенств: {7-11x<9x-(5x+7),
{6-x> 2 (1-4x)-3 (1-3x).​

Answer 1

$\begin{cases}7-11x<9x-2(5x+7)\\6-x>2(1-4x)-3(1-3x)\end{cases}\Rightarrow\begin{cases}7-11x<9x-10x-14\\6-x>2-8x-3+9x\end{cases}\Rightarrow\\\Rightarrow\begin{cases}-11x-9x+10x<-14-7\\-x+8x-9x>2-3-6\end{cases}\Rightarrow\begin{cases}-10x<-21\\-2x>-7\end{cases}\Rightarrow\begin{cases}x>2,1\\\\x<3,5\end{cases}\\x\in(2,1;\;3,5)$